Isaac takes a 216-mile trip from
Boston to New York City. He drives
at a rate of 54 miles per hour. The
equation d = 54t models his
distance, d, over time ,t, in hours. Complete the table of values and identify the independent and variables.
Independent input -Time “0,1,2,3,4”
Dependent output- distance
“0,__,180,__,216”
*Fill in the blank*
WRONG ANSWERS GET REPORTED!!!
Answers:
First Blank = 54Second Blank = 162=============================================
Explanation:
The first blank represents the distance that corresponds to t = 1 hour.
We'll replace t with 1 to get...
d = 54t
d = 54*1
d = 54
Therefore, 54 goes in the first blank. It means that Isaac traveled 54 miles after 1 hour.
------------------
We repeat these steps for t = 3
d = 54*t
d = 54*3
d = 162
This means he traveled 162 miles after 3 hours
So 162 goes in the second blank
-------------------
Side note: your teacher wrote 180 but s/he should have written 108 instead because 54*2 = 108
What are the numbers that affect the movement of a graph.
Answer:
The highest and the lowest numbers affect a graph
Translate this sentence into an equation.
135 is the product of Rick's height and 9.
Use the variable r to represent Rick's height.
Step-by-step explanation:
"product" means multiplication. the same as "times".
so,
135 = r×9
An inverted pyramid is being filled with water at a constant rate of 70 cubic
centimeters per second. The pyramid, at the top, has the shape of a square
with sides of length 6 cm, and the height is 13 cm.
Find the rate at which the water level is rising when the water level is 3 cm.
cm/sec
Rates of change are the change of a quantity over another.
The rate of change in height of the water level is 36.51 cm per second.
Let the length of the top square be s, and the height be h.
The volume of the pyramid is:
[tex]\mathbf{V = \frac{1}{3}s^2h}[/tex]
At time t, we have:
[tex]\mathbf{V = \frac{1}{3}s(t)^2h(t)}[/tex]
The relationship between the side length and height is:
[tex]\mathbf{s : h=6 : 13}[/tex]
Express as fractions
[tex]\mathbf{\frac{s }{ h}=\frac{6 }{ 13}}[/tex]
Make s the subject
[tex]\mathbf{s=\frac{6 }{ 13}h}[/tex]
So, we have:
[tex]\mathbf{V = \frac{1}{3}s^2(t)h(t)}[/tex]
[tex]\mathbf{V = \frac{1}{3} \times (\frac{6 }{ 13}h(t))^2 \times h(t)}[/tex]
[tex]\mathbf{V = \frac{1}{3} \times \frac{36}{ 169}h^2(t) \times h(t)}[/tex]
[tex]\mathbf{V = \frac{1}{3} \times \frac{36}{ 169}h^3(t)}[/tex]
Differentiate
[tex]\mathbf{V'(t) =3 \times \frac{1}{3} \times \frac{36}{ 169}h^2(t) \times h'(t)}[/tex]
[tex]\mathbf{V'(t) =\frac{36}{ 169}h^2(t) \times h'(t)}[/tex]
Make h'(t) the subject
[tex]\mathbf{h'(t) = \frac{169 \times V'(t)}{36 \times h^2(t)}}[/tex]
The water level rises constantly at 70 cm^3/s, and the water level is 3 cm.
So, we have:
[tex]\mathbf{V'(t) = 70}[/tex]
[tex]\mathbf{h(t) = 3}[/tex]
[tex]\mathbf{h'(t) = \frac{169 \times V'(t)}{36 \times h^2(t)}}[/tex] becomes
[tex]\mathbf{h'(t) = \frac{169 \times 70}{36 \times 3^2}}[/tex]
[tex]\mathbf{h'(t) = \frac{169 \times 70}{36 \times 9}}[/tex]
[tex]\mathbf{h'(t) = 36.51}[/tex]
Hence, the rate of change in height of the water level is 36.51 cm per second.
Read more about rates at:
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The Accounts Payable account of Waterford, Inc. has the following postings: Accounts Payable Calculate the ending balance of the account.
14000 8000
5000 12000
Answer:
14000 credit
Step-by-step explanation:
debit means minus
credit means plus
- 17000 (debit)
- 8000 (debit)
+ 27000 (credit)
+ 12000 (credit)
------------------------
14000 credit
PLZ HELP WITH NUMBER 4 AND 5
Answer:
Question 4: 70 degrees
Question 5: 150 degrees
Step-by-step explanation:
Question 4:
The shape is a polygon therefore we need to first find the sum of the angle. The formula is: (number of sides - 2) * 180
Rewrite: (5 - 2) * 180 = 540
To get the answer we add all angles together which is:
135 + 120 + 80 + 135 = 470
Minus to get the last angle:
540 - 470 = 70 degrees
So the answer is 70 degrees:
x = 70 degrees
Question 5:
Again the type of shape is an polygon so first we need to find the sum of the angle.
(6 - 2) * 180 = 720
Next add up all the angles together. The square boxes mean the angle is a right angle. So we can just add 90 degrees for every box you see.
90 + 90 + 120 + 120 = 420
Minus the answer with the sum of the total angle to get the missing value:
720 - 420 = 300 degrees
Next since there are two x, and they are at the same position they are the same value so we can just divide and get the answer.
300 / 2 = 150 degrees
Therefore the answer for both x are 150 degrees:
x = 150 degrees.
An eight-sided solid is labeled with faces 1,2,3,3,4,5,6,6. Is this a fair solid?
Answer:
no hablo Taka Taka
Step-by-step explanation:
hola weon
Let f(x) = 5x - 1 and g(x) = x2 + 3.
Find (f o g)(2).
Answer:
[tex]16[/tex]
PLZ MARK AS BRAINLIEST IF THIS ANSWER HELPED YOU!
Step-by-step explanation:
[tex]f(2) = 5(2) - 1= 9[/tex]
[tex]g(2) = 2^2 + 3 = 7[/tex]
[tex](f \ \o \ g)(2) = f(2) + g(2) = 9 + 7 = 16[/tex]
PLZ MARK AS BRAINLIEST IF THIS ANSWER HELPED YOU!
Suppose a basketball team had a season of games with the following characteristics:
Of all the games, 60% were at-home games. Denote this by H (the remaining were away games).
Of all the games, 25% were wins. Denote this by W (the remaining were losses).
Of all the games, 20% were at-home wins.
Of the at-home games, we are interested in finding what proportion were wins.
Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?
a. 0.05
b. 0.12
c. 0.15
d. 0.42
e. 0.80
correct Ans:
P(H) = 0.60
P(W | H) = P(H and W)/P(H)=
0.33
0.20/0.60
my mistake:
P(H and W) = 0.20
Alyssa has 9 markers and 24 pencils. What is the most number of kits she can make if each kit has the same number of items?
Answer:
Step-by-step explanation:
9 kits
1 marker and 2 pencils. You will have 6 pencils left over. Each kit will have 3 items.
Answer:
3 kits
each kit:3 markers and 8 pencils
How is the distributive property used to expand expressions? Give an example.
Answer:
Distributive property is used to expand expressions by multiplying the factor to every term in the group and combining similar terms if there are any. Hope this helps!
Step-by-step explanation:
An example is...
3(x+4) + 3(y-8)
This is the same thing as...
3x + 12 + 3y -8
This is a statistics question.
Find the sample mean of the frequency distribution.
Answer:
[tex] \frac{5 + 8}{2} = 6.5 \\ \frac{9 + 12}{2} = 9.5 \\ \frac{13 + 16}{2} = 14.5 \\ mean = \frac{ \sum \: xf}{n} \\ = \frac{(3 \times 6.5) + (5 \times 9.5) + (1 \times 14.5)}{(3 + 5 + 1)} [/tex]
How does the graph of g(x)=2⌈x⌉ differ from the graph of f(x)=⌈x⌉?
The problem solving template is a tool which can be used to help solve difficult problems. For this
sample work you will use the problem solving template to set up and then solve the equation. Complete
each part of the template for the question and then solve the question with work shown in the "Do"
square.
Write and solve a system of linear equations. The larger of two numbers is 18 more than 5 times
the smaller. If 3 times the larger number is increased by 4 times the smaller, the result is 16.
Find the numbers by solving algebraically. Show your work including the equations.
Understand: What is being asked in the problem Think(2pts). What do I know and what does it
and what does that mean? (Questions you can mean? What plan am I going to try? (Questions
ask yourself to answer that: What is the problem? you can ask yourself to answer that: What have
What do you need to find or do? What will your they told you? What does it mean? What more
final answer look like?) (2 pts)
do you know or can you figure out? What
connections can you make? What tools,
strategies, or equations can you use?) (2pts)
DoL I will write out my thinking and work. (What Answer: I will write out my response to the
you can do to get there: Work out your
question, explaining my answer and what it
solution/response using your tools and
means. (Questions you can ask yourself to make
information that you thought through. Show sure you did your best: Look back at your work
steps towards completing the problem. Create an and answer: Are you done? Does it make sense,
outline or map to organize your answer. Revise answer all of the questions, and is reasonable
your plan if it doesn't work the first time.) (4pts) (accurate)? How can you check it?) (2pts)
Answer:
Not enough information
The figure shows the movement of a pedestrian as she walks from point B to point E. Write a formula for function d(t) for each section: BC, CD, and DE.
Answer:
First box: -5t+40
Second box: 20
Third box: -5(the t-2)+40
Step-by-step explanation:
I’m not sure if you go to rsm or not, but I’m here to help Bc I have done this question already
Just helping the rsm community Yw
Which types of polygons are the faces of a octahedron
Answer:(i think)
Equilateral triangles
Answer:
A regular octahedron has 8 congruent faces that are congruent equilateral triangles, 12 congruent edges, and 6 vertices; an edge is a line segment formed by the intersection of two adjacent faces; a vertex for a regular octahedron is a point where 4 edges meet.
56.12 × 49= ???
send help
The answer is 3311.08, 56.12 * 49 = 3311.08
Answer:
2749.88
Step-by-step explanation:
THERES THE ANSWER have a NICE DAY!! B-)
The cost of the building a multi-storey building is K300,000 for the first floor, k375,000 for the second floor and K450,000 for the third floor and so on. Find the total cost, if the building is 8 stories high?
Answer:
4.9000890
Step-by-step explanation:
Set up a proportion and solve each problem. Round each answer to the nearest tenths. 5) What is 35% of 74? 6) 78 is what percent of 95? 7) Find what % of 54 is 6. 8 28 is 60% of what number?
Answer:
power rangers
power rangers
What is the median for the data shown below?
S= [110, 105, 126, 65, 134, 102, 78, 80, 119, 67, 88]
Answer:
102
Step-by-step explanation:
The median of a data set is found by putting the data set in ascending numerical order and identifying the middle number. If there are an odd number of data values in the data set, the median is a single number. If there are an even number of data values in the data set, the median is the average of the two middle numbers. Sorting the data set for the values entered above we have:
65 , 67 , 78 , 80 , 88 , 102 , 105 , 110 ,119 , 126 , 134
Since there is an odd number of data values in this data set, there is only one middle number. With 11 data values, the middle number is the data value at position 6. Therefore, the median is 102.
Answer:
102
Step-by-step explanation:
1. The median is the quantity that's in the middle of a data set.
2. First, we have to arrange the given data set from least to greatest:
65, 67, 78, 80, 88, 102, 105, 110, 119, 126, 1343. Now, when we try and locate the middle number, we can see that the number is 102.
Therefore, the median is 102.
An exponential function in the form y=64(b)x contains the points (0,64) and (3,1). What is the value of b?
Answer:
1/4
Step-by-step explanation:
The value of b is 1/4
We have given that,
An exponential function in the form y=64(b)^x contains the points (0,64) and (3,1).
What is the exponential equation?[tex]y=64b^x\\x=0,y=64\\64=64b^0\\=64\times1\\=64[/tex]
(3,1)
x=3,y=1
[tex]1=64b^3\\b^3=\frac{1}{64} \\b=1/4[/tex]
b=1/4
The value of b is 1/4
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Lightning travels much faster than thunder, so lightning is seen before thunder is heard. Using inductive reasoning and the graph to the right, if you count 60 s between the lightning and thunder, how far away is the storm?
Answer:
The correct answer is 9 seconds.
Step-by-step explanation:
On your graph, use a ruler and your eye to get the best fitting line.
Then find the time in seconds (45) which is between 40 and 50 on the x-axis.
Go across to the y axis. You will find it is about 9 seconds.
Hope This Helps!
Subtract: 11a2– 15b2.
The difference can be displayed as (√11a - √15b) (√11a + √15b).
What are Algebraic Identities?Algebraic identities are equations in which the right-hand side of the equation's value is exactly equal to the left-hand side of the equation's value. Any value for the variables satisfies them. To further comprehend this, let's look at an illustration.
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²(a + b)(a - b) = a² - b²(x + a)(x + b) = x² + x(a + b) + abgiven:
11a²– 15b²
Using the identity
(a² - b²)= ( a+ b)(a- b)
so, 11a²– 15b²
[(√11a)²– (√15b)²]
= (√11a - √15b) (√11a + √15b)
Hence, the difference can be displayed as (√11a - √15b) (√11a + √15b).
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One hose can fill a small swimming pool in 70 minutes. A larger hose can fill the pool in 30 minutes. How long will it take the two hoses to fill the pool working together?
Answer:
15 minutes
Step-by-step explanation:
A store sells 6 T-shirts for $59.58. What is the unit cost per T-shirt?
Answer:
$10.00
Step-by-step explanation:
there are 6 tshirts sold and the total cost is 59.98 dollars, so you would divide 59.98 divided by 6. you would probably round because the answer would be 9.996667, rounding up would be 10.00. hope this helps a bit
In a survey of 1020 adults in the manila 44% said that they wash their hands after riding public transportation.
a. Identify the sample and population
B. Is the value of 44% a statistic or parameter?
C. What is the level of measurement of the value of 44%
D. Are the numbers of subjects in such surveys discrete or continuous?
Answer:
csihshx8wnwisnjxieei9wjw9ejd9jfie
which expression is equivalent to 5^6
A) 6 · 5
B) 25 · 5 · 5 · 5
C) 125 · 125
D) 36 · 6 · 6 · 6
Answer:
C) 125 • 125
Step-by-step explanation:
5^6 is equivalent to 5 x 5 x 5 x 5 x 5 x 5
Three sets of five multiplied by one another is the same as 5^3 x 5^3 or 125 x 125.
A population of protozoa develops with a constant relative growth rate of 0.8603 per member per day. On day zero the population consists of two members. Find the population size after five days. (Round your answer to the nearest whole number.)
Answer:
interest the whole number to 2460
solve the equation for x. 2x-3+2y^2=41
Answer:
x=22-y^2÷2
Step-by-step explanation:
Answer:
x=44-2y^2÷2
Step-by-step explanation:
2x-3+2y^2=41
(combine like terms)
2x+2y^2=41+3
2x+2y^2=44
2x=44-2y^2
x=44-2y^2÷2
Please like my answer.
100-2(12+13) solve the equation
Answer: 100−2(12+13)
12+13=25
100−2×25
2×25=50
100-50=50
the answer is 50 :)
Answer:
50
Step-by-step explanation:
To solve this equation, use PEMDAS:
P - Parentheses
E - Exponents
M/D - Multiplication/Division
A/S - Addition/Subtraction
PEMDAS is the method that is used for the order of operations. Multiplication and division are interchangeable, so when there are only those signs left, you solve from left to right. This also applies to addition and subtraction.
Equations must always be solved in the order of PEMDAS -- P, then E, then M/D, then A/S.
Now, to solve the equation:
100 - 2(12 + 13) First, solve what is in the parentheses (P).
100 - 2(25) Next, multiply 2 × 25 (M).
100 - 50 Finally, subtract 50 from 100 (S)
50
100 - 2(12 + 13) = 50